Alligation & Mixtures Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 1 EXERCISES
The following question based on Alligation & Mixtures topic of quantitative aptitude
(a) 2 : 3
(b) 4 : 5
(c) 1 : 3
(d) 3 : 4
e) None of these
The correct answers to the above question in:
Answer: (a)
By the rule of alligation:
∴ Required rate = 60 : 90 = 2 : 3
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Question : 1
A container contained 80 kg of milk. From this container, 8 kg of milk was taken out and replaced by water. This process was further repeated two times. How much milk is now contained by the container?
a) 56 kg
b) 59.46 kg
c) 48 kg
d) 58.32 kg
e) None of these
Answer »Answer: (d)
Amount of liquid left after n operations, when the container
originally contains x units of liquid from which y units in
taken out each time is x $({x - y}/x)^n$ units.
Thus, in the above case, amount of milk left
= 80$[{80 - 8}/80]^3$ kg = 58.32 kg
Question : 2
In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg?
a) 3 : 2
b) 5 : 3
c) 3 : 1
d) 4 : 3
e) None of these
Answer »Answer: (c)
By the rule of alligation:
∴ Required ratio = 750 : 250 = 3 : 1.
Question : 3
Jayashree purchased 150 kg of wheat of the rate of Rs. 7 per kg. She sold 50 kg at a profit of 10%. At what rate per kg should she sell the remaining to get a profit of 20% on the total deal?
a) 8.75
b) 9.75
c) 6.50
d) 7.50
e) None of these
Answer »Answer: (a)
Selling price of 150 kg wheat at 20% profit
= 150 × 7 $({120}/{100})$ = Rs. 1260
Selling price of 50 kg wheat at 10% profit
= 50 × 7 $({110}/{100})$ = Rs. 385
∴ Selling price per kg of remaining 100 kg wheat
= ${1260 - 385}/100$ = Rs.8.75
Question : 4
In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?
a) 2 : 1
b) 3 : 2
c) 1 : 2
d) 2 : 3
e) None of these
Answer »Answer: (c)
By the rule of alligation:
Ratio of water to milk = 4 : 8 = 1 : 2
Question : 5
Gold is 19 times as heavy as water and copper 9 times. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?
a) 3 : 2
b) 4 : 5
c) 1 : 2
d) 2 : 3
e) None of these
Answer »Answer: (a)
∴ Gold : Copper = 6 : 4 = 3 : 2
Question : 6
A vessel of 80 litre is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found that the vessel is vacated by 55%. Find the initial quantity of milk and water.
a) 30, 50
b) 60, 20
c) 20, 60
d) 50, 30
e) None of these
Answer »Answer: (d)
Here, the % values of milk and water that is taken from the vessel should be taken into consideration.
⇒5 : 3
Ratio of milk to water = 5 : 3
∴ quantity of milk = ${80}/{5 + 3}$ × 5 = 50 litres
and quantity of milk = ${80}/{5 + 3}$ × 3 = 30 litres
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Alligation & Mixtures Model Questions Set 1
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